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Finding the Fourth Proportional to 5,792.33, 8,646.11 and 4,975.85

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Solution

The fourth proportional to 5,792.33, 8,646.11 and 4,975.85 is: 7,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.33 : 8,646.11 = 4,975.85 : x
  2. Step 2: Convert to fraction form
    5,792.33/8,646.11 = 4,975.85/x
  3. Step 3: Cross multiply
    5,792.33x = 8,646.11 × 4,975.85
  4. Step 4: Simplify right side
    5,792.33x = 43,021,761.84
  5. Step 5: Solve for x
    x = 43,021,761.84/5,792.33
  6. Step 6: Final answer
    x = 7,427.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.